**Question 10: An incompressible liquid is passed through a horizontal pipe and it is observed that the speed of mass of liquid when emerges is greater than the speed when it enters the pipe. How can it be **possible?

ANSWER

** **We know from the equation of continuity that,

⇒

Where A_{1} and A_{2} are the cross-sectional areas of the pipe where the incompressible fluid enters and emerges, respectively. v_{1} and v_{2} are the respective velocities of the incompressible fluid at these points.

Now from the above equation,

This means the emerging velocity v_{2} is times the entering velocity v_{1}.

Now if v_{2} > v_{1} ⇒ > 1 ⇒ A_{1} > A_{2}.

So if the emerging velocity of the fluid is greater than the entering velocity, this means that the cross-section of the pipe at the entering point of the fluid is greater than the cross-section of the pipe where the fluid emerges out.

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